TY - JOUR
T1 - The magneto-elastica: from self-buckling to self-assembly
AU - Vella, D.
AU - du Pontavice, E.
AU - Hall, C. L.
AU - Goriely, A.
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This publication is based in part upon work supported by award no. KUK-C1-013-04, made by the King Abdullah University of Science and Technology (KAUST). A. G. is a Wolfson/Royal Society Merit Award holder and acknowledges support from a Reintegration grant under EC Framework VII. A. G. and C. H. acknowledge support from the EPSRC through grant no. EP/I017070/1.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2013/12/4
Y1 - 2013/12/4
N2 - Spherical neodymium-iron-boron magnets are permanent magnets that can be assembled into a variety of structures owing to their high magnetic strength. A one-dimensional chain of these magnets responds to mechanical loadings in a manner reminiscent of an elastic rod. We investigate the macroscopic mechanical properties of assemblies of ferromagnetic spheres by considering chains, rings and chiral cylinders of magnets. Based on energy estimates and simple experiments, we introduce an effective magnetic bending stiffness for a chain of magnets and show that, used in conjunction with classic results for elastic rods, it provides excellent estimates for the buckling and vibration dynamics of magnetic chains. We then use this estimate to understand the dynamic self-assembly of a cylinder from an initially straight chain of magnets.
AB - Spherical neodymium-iron-boron magnets are permanent magnets that can be assembled into a variety of structures owing to their high magnetic strength. A one-dimensional chain of these magnets responds to mechanical loadings in a manner reminiscent of an elastic rod. We investigate the macroscopic mechanical properties of assemblies of ferromagnetic spheres by considering chains, rings and chiral cylinders of magnets. Based on energy estimates and simple experiments, we introduce an effective magnetic bending stiffness for a chain of magnets and show that, used in conjunction with classic results for elastic rods, it provides excellent estimates for the buckling and vibration dynamics of magnetic chains. We then use this estimate to understand the dynamic self-assembly of a cylinder from an initially straight chain of magnets.
UR - http://hdl.handle.net/10754/599933
UR - https://royalsocietypublishing.org/doi/10.1098/rspa.2013.0609
UR - http://www.scopus.com/inward/record.url?scp=84890721405&partnerID=8YFLogxK
U2 - 10.1098/rspa.2013.0609
DO - 10.1098/rspa.2013.0609
M3 - Article
C2 - 24511257
SN - 1364-5021
VL - 470
SP - 20130609
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2162
ER -